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Simplifying 17x + -8(x + 4) = 3x + -26 Reorder the terms: 17x + -8(4 + x) = 3x + -26 17x + (4 * -8 + x * -8) = 3x + -26 17x + (-32 + -8x) = 3x + -26 Reorder the terms: -32 + 17x + -8x = 3x + -26 Combine like terms: 17x + -8x = 9x -32 + 9x = 3x + -26 Reorder the terms: -32 + 9x = -26 + 3x Solving -32 + 9x = -26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 9x + -3x = -26 + 3x + -3x Combine like terms: 9x + -3x = 6x -32 + 6x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 6x = -26 + 0 -32 + 6x = -26 Add '32' to each side of the equation. -32 + 32 + 6x = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -26 + 32 6x = -26 + 32 Combine like terms: -26 + 32 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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